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3133021222134 = 2333112714736833
BaseRepresentation
bin101101100101110110100…
…111011111010011110110
3102002111212122011111201000
4231211312213133103312
5402312411413102014
610355142353544130
7442232120663166
oct55456647372366
912074778144630
103133021222134
11aa8785890801
1242724a575046
1319959a60972b
14ab8d37305a6
155676c93e509
hex2d9769df4f6

3133021222134 has 64 divisors (see below), whose sum is σ = 7243448647680. Its totient is φ = 1002694049280.

The previous prime is 3133021222081. The next prime is 3133021222231. The reversal of 3133021222134 is 4312221203313.

3133021222134 is a `hidden beast` number, since 3 + 1 + 3 + 302 + 1 + 222 + 134 = 666.

It is a super-4 number, since 4×31330212221344 (a number of 51 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 3133021222098 and 3133021222107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7155819 + ... + 7581014.

It is an arithmetic number, because the mean of its divisors is an integer number (113178885120).

Almost surely, 23133021222134 is an apocalyptic number.

3133021222134 is an abundant number, since it is smaller than the sum of its proper divisors (4110427425546).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3133021222134 is a wasteful number, since it uses less digits than its factorization.

3133021222134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14737002 (or 14736996 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 3133021222134 its reverse (4312221203313), we get a palindrome (7445242425447).

The spelling of 3133021222134 in words is "three trillion, one hundred thirty-three billion, twenty-one million, two hundred twenty-two thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 31 54 62 93 127 186 254 279 381 558 762 837 1143 1674 2286 3429 3937 6858 7874 11811 23622 35433 70866 106299 212598 14736833 29473666 44210499 88420998 132631497 265262994 397894491 456841823 795788982 913683646 1370525469 1871577791 2741050938 3743155582 4111576407 5614733373 8223152814 11229466746 12334729221 16844200119 24669458442 33688400238 50532600357 58018911521 101065200714 116037823042 174056734563 348113469126 522170203689 1044340407378 1566510611067 3133021222134